A new algorithm for finding rational first integrals of polynomial vector fields
Ferragut Amengual, Antoni Manel (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Giacomini, Hector (Centre National de la Recherche Scientifique (França))

Date:	2010
Abstract:	We present a new method to compute rational first integrals of planar polynomial vector fields. The algorithm is in general much faster than the usual methods and also allows to compute the remarkable curves associated to the rational first integral of the system.
Grants:	Ministerio de Educación y Ciencia MTM2005-06098-C02-01 Agència de Gestió d'Ajuts Universitaris i de Recerca 2005/SGR-00550
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Polynomial vector field ; Rational first integral ; Remarkable curve
Published in:	Qualitative theory of dynamical systems, Vol. 9, Issue 1-2 (November 2010) , p. 89-99, ISSN 1662-3592

DOI: 10.1007/s12346-010-0021-x

Postprint 11 p, 320.0 KB

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